The Parsis are one of the two Zoroastrian communities which live in India. They came to the country during the Muslim conquest of Persia and settled mainly in the state of Gujarat, but in some other states as well (albeit in smaller numbers).
They practice Zoroastrianism, a religion which was in the past the main and even the state religion of Iran during the Sassanid rule. They are an endogenous community which doesn’t accept converts and in order to be a Parsi, you have to be born as one - and they marry within the community which numbers around 60,000–70,000 in India.
The second Zoroastrian community are the Iranis who came during the Qajar dynasty. And after India, Iran has the largest number of Zoroastrians.